Answer:
<h2>s = 142.042247 m</h2>
Step-by-step explanation:
<h2>I hope it is right</h2>
Answer:
D) 2p+14/p
Step-by-step explanation:
The pattern is adding 2 stars on top of the previous figure, so figure number 4 would look like this:
* *
* *
* *
* *
Since the pattern is adding 2 stars every time, the explicit formula (for the number of stars) would be
Since when n=1, i.e. figure 1, we have 2*1=2 stars
when n=2, i.e. figure 2, we have 2*2=4 stars
when n=3, i.e. figure 3, we have 2*3=6 stars
and so on.
The recursive formula lays on the fact that we add 2 stars to the previous figure, which means that the fomula is
In fact, what we just wrote is simply "the number of stars at a given iteration is the number of stars at the previous iteration, plus 2.
2*10^-2 (Ten to the negative 2 power)
"The sum of two numbers is 20" can be translated mathematically into the equation:
x + y = 20.
"... and their difference is 10" can be translated mathematically as:
x - y = 10
We can now find the two unknown numbers, x and y, because we now have a system of two equations in two unknowns, x and y. We'll use the Addition-Subtraction Method, also know as the Elimination Method, to solve this system of equations for x and y by first eliminating one of the variables, y, by adding the second equation to the first equation to get a third equation in just one unknown, x, as follows:
Adding the two equations will eliminate the variable y:
x + y = 20
x - y = 10
-----------
2x + 0 = 30
2x = 30
(2x)/2 = 30/2
(2/2)x = 15
(1)x = 15
x = 15
Now, substitute x = 15 back into one of the two original equations. Let's use the equation showing the sum of x and y as follows (Note: We could have used the other equation instead):
x + y = 20
15 + y = 20
15 - 15 + y = 20 - 15
0 + y = 5
y = 5
CHECK:
In order for x = 15 and y = 5 to be the solution to our original system of two linear equations in two unknowns, x and y, this pair of numbers must satisfy BOTH equations as follows:
x + y = 20 x - y = 10
15 + 5 = 20 15 - 5 = 10
20 = 20 10 = 10
Therefore, x = 15 and y = 5 is indeed the solution to our original system of two linear equations in two unknowns, x and y, and the product of the two numbers x = 15 and y = 5 is:
xy = 15(5)
xy = 75